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Understanding the Slope-Intercept Form of Linear Equations

This resource covers the slope-intercept form of linear equations, expressed as y = mx + b, where m represents the slope and b denotes the y-intercept. It provides examples illustrating how to determine the slope and y-intercept from various equations, such as y = -x + 2 and 2y = 7x - 4. Additionally, it includes exercises to reinforce understanding. This is essential for students learning to graph linear equations and solve for their components.

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Understanding the Slope-Intercept Form of Linear Equations

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  1. 11.6 The Slope Intercept Form

  2. Slope Intercept Form • Same as function form • Need to solve for y

  3. slope y-intercept Slope-intercept equationy = mx + b

  4. Y=-x+2 • slope intercept form Y=(-1)x +2 • Slope M=-1 • Y-intercept B=2

  5. Slope intercept form • Slope M=1/2 • Y-intercept B=5/2

  6. Y=7 • Slope intercept form y=0x +7 • Slope m=0 • Y-intercept b= 7

  7. Find the slope and y-intercept ofy = -5x + 6

  8. Find the slope and y-intercept of2y = 7x - 4

  9. Find the slope and y-intercept of2x + 3y = 6 -2x -2x 3y = - 2x + 6 3 3 3

  10. Find the slope and y-intercept of-7x - 5y = 25 +7x +7x -5y = 7x + 25 -5 -5 -5

  11. Homework • Page 591 (4-6, 10-18) all

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